OLC

Redirect to:

• Corner Orientation#OLC Algorithms

Orient Last Corners (OLC), also known as Orient Last 4 Corners (OL4C), is a subset of OLL used in ZZ-reduction following Phasing that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited PLL set of 9 cases, down from 21 in full PLL.

Merge Suggested This page appears to already exist somewhere else, possibly as a subsection of another. It is suggested that this page be merged with OCLL-EPP

OLC Algorithms

Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).

Odds of skipping this step are 1/27.

OLC 1

Probability 4/27

Name: S, Sune, Swimming Left Used in: ZZ-reduction Optimal moves: {{{optimal}}}

OLL

R U' L' U R' U' L

OLL

y2 R' U L U' R U L'

OLL

U R U' L' U R' U' L

OLC 2

Probability 4/27

Name: -S, Antisune, Swimming Right Used in: ZZ-reduction Optimal moves: ? HTM

OLL

L' U R U' L U R'

OLC 3

Probability 2/27

Name: H, Double Sune, Flip, Cross Used in: ZZ-reduction Optimal moves: ? HTM, ? STM

OLL

y F (R U R' U')3 F'

OLC 4

Probability 4/27

Name: pi, Bruno, wheel, T-shirt Used in: ZZ-reduction Optimal moves: ? HTM

Alg

f (R U R' U') F f' (R U R' U') F'

OLL

y U L' U2 L2 U L2 U L2 U2 L' U2

OLL 23

Probability 4/27

Name: U, Headlights, Superman Used in: OCLL, OLL Optimal moves: 9 HTM

OLL

R2' D' R U2 R' D R U2 R

OLL

y' F L' D2 L U2 L' D2 L U2 F'

OLL

y' B L2 B R2 B F2 R2 B L2 F2

OLL

y' B' F2 R2 B L2 B' R2 B L2 F2

OLL

L2 D L' U2 L D' L' U2 L'

OLL

(y2) R' F2 R U2 R U2 R' F2 R U2 R'

OLL

(y2) R2 D R' U2 R D' R' U2 R'

OLL

R2 D R' U2' R D' R' U2 R'

OLL

F R U' R' U R U R' U R U' R' F'

OLL

(R' U' R U') R' U2 R2 U (R' U R U2 R')

OLL

l2 U' R D2 R' U R D2 R

OLL

l2' U' z' U R2 U' L U R2 U z'

OLL

y2 R2' B2 R F2' R' B2 R F2' R

OLL

(x) R' B2' (R U' R' U) B2' (U' R U)

OLL

y' F' L2 F' R2 B2 F' R2 F' L2 B2

OLL 24

Probability 4/27

Name: T, chameleon, shark, Hammerhead, Little Horse, stingray Used in: OCLL, OLL Optimal moves: 8 HTM

OLL

r U R' U' L' U R U' x'

OLL

r U R' U' r' F R F'

OLL

(y' x') R U R' D R U' R' D'

OLL

(y') F R U R' U' R U' R' U' R U R' F'

OLL

(y x) D' R' U R D R' U' R x'

OLL

(y x) D L U' L' D' L U L' x'

OLL

(y x') U' R' D R U R' D' R x

OLL

(y2) R' F' L F R F' L' F

OLL

(y2) R' F' r U R U' r' F

OLL

(y2) l' U' L U R U' r' F

OLL

(y') l U l' F R B' R' F'

OLL 25

Probability 4/27

Name: L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship Used in: OCLL, OLL Optimal moves: 8 HTM

OLL

y' F' r U R' U' r' F R

OLL

R U2 R' U' (R U R' U') (R U R' U') R U' R'

OLL

R U R' U (R U' R' U) (R U' R' U) R U2 R'

OLL

y2 R' F R B' R' F' R B

OLL

y2 F R' F' L F R F' L'

OLL

y F' L F R' F' L' F R

OLL

y' F' r U R' U' r' F R

OLL

y' x U R' U' L U R U' r'

OLL

R' F' L' F R F' L F

OLL

y2 R U2' R D R' U2 R D' R2'

OLL

y2 F R' F' r U R U' r'

OLL

y2 l' U R D' R' U' R D x'

OLL

y2 x' L' U' R' U L U' R U

OLL

x' D R U R' D' R U' l'

OLL

x' U L' U' R U L U' l'

OLL

x' R' D R U' R' D' R U x

OLL

x R' U R D' R' U' R D x'

OLL

y2 x L U' L' D L U L' D' x'

OLL

l' U' L' U R U' L U x'

OLL

U r U R U' L' U R' U' x'

OLL

R U2 R' U' (R U R' U')2 R U' R'

OLL

y2 L' R U R' U' L U R U' R'

OLL

F R B R' F' l U' l'

OLL

U R U2 R' L' U' L U' R U' R' L' U2 L

OLL

y R U R' U' R' F R U R U' R' F'